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Logistic regression with covariate-dependent probability of misclassification
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SYSNO ASEP 0645450 Document Type J - Journal Article R&D Document Type Journal Article Subsidiary J Článek ve WOS Title Logistic regression with covariate-dependent probability of misclassification Author(s) Hársfalvi, P. (HU)
Klaschka, Jan (UIVT-O) RID, SAI, ORCID
Reiczigel, J. (HU)Source Title Statistical Papers. - : Springer - ISSN 0932-5026
Roč. 67, č. 1 (2026), s. 16Number of pages 20 s. Publication form Online - E Language eng - English Country DE - Germany Keywords Logistic regression ; Covariate-dependent misclassification ; Maximum likelihood ; Sensitivity ; Specificity OECD category Statistics and probability Method of publishing Open access Institutional support UIVT-O - RVO:67985807 UT WOS 001667486800004 DOI https://doi.org/10.1007/s00362-025-01784-w Annotation We propose a model that generalizes the logistic model with misclassification in the outcome. While the previous model assumed constant probabilities of false positivity and false negativity of the observed outcome, in our model one of these probabilities can be covariate-dependent. Our model can be applied in cases where the presence of a feature depends on some covariates and its detection probability (given it is present) depends on other covariates. It may also have applications in social science studies where respondents are reluctant to answer honestly some sensitive survey questions, and the degree of honesty depends on certain covariates. In such cases, the model makes it possible to simultaneously estimate the dependence of the true response on independent variables and the degree of response distortion conditional on its covariates. Sub-models of the proposed model are tested using likelihood ratio tests. We illustrate the properties of the model through simulations and applications to real data. Workplace Institute of Computer Science Contact Tereza Šírová, sirova@cs.cas.cz, Tel.: 266 053 800 Year of Publishing 2027
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